{"schema":"vela.problem-packet.v0.1","problem":1181,"statement":"Let $q(n,k)$ denote the least prime which does not divide $\\prod_{1\\leq i\\leq k}(n+i)$. Is it true that there exists some $c>0$ such that, for all large $n$,\\[q(n,\\log n)<(1-c)(\\log n)^2?\\]","status":"open","seam":"raw","closureRoutes":[],"obligations":[],"attestations":[],"attempts":[],"velaLean":[],"oeis":[],"generated_note":"derived view; the signed event log is the source of truth (vela check / vela reproduce)"}